I need help converting decimal degrees to degrees, minutes, and seconds. Show me the math not just the answers

Question

1- 26.18 degrees
2- 37.39 degrees
3- 18.58 degrees
4- 98.5 degrees
5- 222.8 degrees

Answer 1

26.18 degrees = 26 + .18*60 minutes
= 26 degrees 10.8 minutes
= 26 degrees 10 minutes + .8(60) seconds
= 26 degrees 10 minutes 48 seconds

The rest are done the same way

Answer 2

60 sec of arc equals one minute. 60 minutes of arc equals one degree. So......
.18 degrees times 60 equals 10.8 minutes, and .8 minutes times 60 equals 48 seconds. 26.18 degrees, then, equals 26 deg, 10 minutes, 48 seconds..... Get it ? Now you can do the rest.

Answer 3

You have to remember the following:
1 degree = 60 minutes
1 minute = 60 seconds
Then you used these conversion factors to solve.

1. 26.18 degrees is actually 26 degrees and
0.18 degrees
Convert 0.18 degrees to minutes:
60 min.
0.18 degrees x -------------- = 10.8 minutes
1 degree

Now, 10.8 minutes is actually 10 minutes and
0.8 minutes.
Convert 0.8 minutes to seconds:
60 seconds
0.8 minutes x ----------------- = 48 seconds.
1 minute

So, the answer is:
26 degrees, 10 minutes, and 48 seconds.

2. 37.39 degrees is 37 deg. and 0.39 deg.
60 min.
0.39 deg x ---------- = 23.4 min.
1 deg

23.4 min is 23 min. and 0.4 min.
60 sec.
0.4 min x --------- = 24 sec.
1 min.

Answer: 37 deg 23 min 24 sec

3. 18.58 deg is 18 deg and 0.58 deg
60 min
0.58 deg x ---------- = 34.8 min
1 deg
34.8 min is 34 min. and 0.8 min
60 sec
0.8 min x ---------- = 48 sec
1 min
Answer: 18 deg 34 min 48 sec

4. 98.5 deg is 98 deg and 0.5 deg
60 min
0.5 deg x -------- = 30 min
1 deg
30 min is 30 min and 0 min
60 sec
0 min x ------------ = 0 sec
1 min
Answer: 98 deg 30min 0 sec

5. 222.8 deg is 222 deg and 0.8 deg
60 min
0.8 deg x ----------- = 48 min
1 deg
48 min is 48 min and 0 min
60 sec
0 min x ---------- = 0 sec
1 min
Answer: 222 deg 48 min 0 sec

Hope you got it.
Note: Ooops! I don't know why it doesn't look like the way I type it, but the fractions are not shown properly.
Teddy Boy